State whether the following is true or false.

“If a ray stands on a line, then the sum of two adjacent angles so formed is equal to 180°”, is an axiom.

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True

False

answer is A.

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Detailed Solution

Given that, “If a ray stands on a line, then the sum of two adjacent angles so formed is equal to 180°” is an axiom.
Axiom is a statement or proposition which is regarded as being self-obviously evident, established or accepted.
Drawing the required figure,
Question Image

Here,

∠ 1

and

∠ 2

are adjacent angles, whose sum is equal to

1800

, i.e.,

∠ 1 + ∠ 2

1800

Since, the angles formed by the line standing on ray are linear pair, thus, the given statement is true.
Hence, it is an axiom.
Therefore, option (1) is correct and the statement is true.

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